A new space for fourier transform

DOI10.1080/10652460008819250zbMath0967.46028OpenAlexW2065010937MaRDI QIDQ4500490

T. Venugopal, V. Karunakaran

Publication date: 27 August 2000

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460008819250

zbMATH Keywords

Fourier transformrepresentation theoremtempered distributionsrapidly decreasing functiontesting space

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (1)

New spaces of functions and hyperfunctions for Hankel transforms and convolutions

Cites Work

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• A new theory for Fourier analysis. I: The space of test functions
• A new theory for Fourier analysis. IV: Basic multiplication and convolution on the dual space
• A new theory for Fourier analysis. II: Further analysis on the space of test functions
• A new theory for Fourier analysis. III: Basic analysis on the dual
• Convolution transform for generalized functions

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